Effective Lagrangians and low energy photon-photon scattering

الأصل · EN

We use the behavior of the photon-photon scattering for photon energies ω less than the electron mass, mₑ, to examine the implications of treating the Euler-Heisenberg Lagrangian as an effective field theory. Specifically, we determine the ω²/mₑ² behavior of the scattering amplitude predicted by including one-loop corrections to the Euler-Heisenberg effective Lagrangian together with the counterterms required by renomalizability. This behavior is compared with the energy dependence obtained by expanding the exact QED photon-photon scattering amplitude. If the introduction of counterterms in the effective field theory is restricted to those determined by renormalizability, the ω²/mₑ² dependences of the two expansions differ.